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Finding the Fourth Proportional to 9,497.76, 14,227.20 and 5,590.32

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Solution

The fourth proportional to 9,497.76, 14,227.20 and 5,590.32 is: 8,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.76 : 14,227.20 = 5,590.32 : x
  2. Step 2: Convert to fraction form
    9,497.76/14,227.20 = 5,590.32/x
  3. Step 3: Cross multiply
    9,497.76x = 14,227.20 × 5,590.32
  4. Step 4: Simplify right side
    9,497.76x = 79,534,600.70
  5. Step 5: Solve for x
    x = 79,534,600.70/9,497.76
  6. Step 6: Final answer
    x = 8,374.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.